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Finding the Third Proportional to 147,430.13 and 346,543.31

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Solution

The third proportional to 147,430.13 and 346,543.31 is: 814,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,430.13 : 346,543.31 = 346,543.31 : x
  2. Step 2: Convert to fraction form
    147,430.13/346,543.31 = 346,543.31/x
  3. Step 3: Cross multiply
    147,430.13x = 346,543.31 × 346,543.31
  4. Step 4: Simplify right side
    147,430.13x = 120,092,267,438.47
  5. Step 5: Solve for x
    x = 120,092,267,438.47/147,430.13
  6. Step 6: Final answer
    x = 814,570.75

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.